208064016384 has 624 divisors, whose sum is σ = 679847233536. Its totient is φ = 56357683200.

The previous prime is 208064016373. The next prime is 208064016397. The reversal of 208064016384 is 483610460802.

It is a super-3 number, since 3×208064016384³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325248434 + ... + 1325248590.

Almost surely, 2^208064016384 is an apocalyptic number.

208064016384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208064016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339923616768).

208064016384 is an abundant number, since it is smaller than the sum of its proper divisors (471783217152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208064016384 is a wasteful number, since it uses less digits than its factorization.

208064016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 208064016384 in words is "two hundred eight billion, sixty-four million, sixteen thousand, three hundred eighty-four".